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g100num [7]
3 years ago
12

Help solve this matrix question

Mathematics
2 answers:
Anna007 [38]3 years ago
7 0

Answer:

The correct answer is A -6/17

umka21 [38]3 years ago
7 0

Answer:

A

Step-by-step explanation:

Multiply each component of the matrices by the scalar, that is

\left[\begin{array}{ccc}-4a\\-4b\\\end{array}\right] = \left[\begin{array}{ccc}180\\-510\\\end{array}\right]

Equate corresponding elements, that is

- 4a = 180 ⇒ a = - 45

- 4b = - 510 ⇒ b = 127.5

Hence

\frac{a}{b} = \frac{45}{127.5} = - \frac{6}{17} → A

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The brand manager for a brand toothpaste must plan a campaign designed to increase brand recognition. He wants to first determin
bulgar [2K]

We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.

From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words, Z_{Critical}=1.645.

We also know that E=5% or E=0.05

Also, since, \hat{p} is not given, we will assume that \hat{p}=0.5. This is because, the formula that we use will have \hat{p}(1-\hat{p}) in the expression and that will be maximum only when \hat{p}=0.5. (For any other value of \hat{p}, we will get a value less than 0.25. For example if, \hat{p} is 0.4, then 1-\hat{p}=0.6 and thus, \hat{p}(1-\hat{p})=0.24.).

We will now use the formula

n=(\frac{Z_{Critical}}{E})^2\hat{p}(1-\hat{p})

We will now substitute all the data that we have and we will get

n=(\frac{1.645}{0.05})^2\times0.5(1-0.5)

n=(32.9)^2\times0.25

n=270.6025

which can approximated to n=271.

So, the brand manager needs a sample size of 271

3 0
3 years ago
Write a fraction that has
Nuetrik [128]

Answer:

3/6 and 1/2

Step-by-step explanation:

If you divide each side of the fraction by 2 it will give you 1/2.

6 0
2 years ago
Please help with this
Degger [83]
All of them are wrong its 91 but if you want click or circle 90
3 0
3 years ago
Is a positive integer raised to a negative power always positive
Evgesh-ka [11]

Answer:

Yes

Step-by-step explanation:

Many students gets confused with these exponential problems, they often get misguided but understand that there is nothing to be confused of.

When you have a negative number, you just take the reciprocal of the whole exponent number.

What is a reciprocal?

Let's take an integer for example, let's take the number 3.

The reciprocal for 3 is (1/3)

Let's take an other number, let's take 2/3

The reciprocal for 2/3 is (3/2)

In conclusion, we just reverse the denominator and the numerator or just switch it.

We take 3 as (3/1) and that is the reason, the reciprocal would be (1/3)

Now, coming to the negative integers. Taking an example:

(2)⁻¹

This would be become (1/2¹) = (1/2)

Hence, the result of a negative integer is positive but would be a fraction.

Hope I helped!


3 0
3 years ago
a classroom has a length of 20 feet and a width of 30 feet. The headmaster decided that tiles will look good in that class. if e
iogann1982 [59]
The area of the room must equal the sum of the areas of the tiles...

20*30=n(2*3)

600=6n

n=100

So 100 tiles are needed.
8 0
3 years ago
Read 2 more answers
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